as with the field of phylogenetic inference, methods to resolve polytomies are being developed on species trees instead of intraspecific trees. my interests focus on intraspecific trees, usually using likelihood methods like the coalescent, and I have yet to find methods developed to test for hard polytomies in these sorts of trees. since species and intra-species population and genetic dynamics are quite different, I would expect the methods to be different as well.
Posada & Crandall on TEE produced a review that can be a start ref. https://www.google.it/url?sa=t&rct=j&q=&esrc=s&source=web&cd=4&ved=0ahUKEwjX55Guy7PMAhUMJJoKHR8xAPQQFgg7MAM&url=http%3A%2F%2Fdna.ac%2Ffilogeografia%2FPDFs%2Fnetworks%2FPosada%2526Cran_01_networks%2526geneal.pdf&usg=AFQjCNHpGa2fWz8RgZT4117cI3KspM01AQ&sig2=OvUXIXrjjUrqQkxDbMd0kg&bvm=bv.120853415,d.bGs&cad=rja; Mardulyn in 2012 reddraw it for further contribution with more refs in http://onlinelibrary.wiley.com/doi/10.1111/j.1365-294X.2012.05622.x/pdf
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